<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>2.2 VAR Est_ Homophily (PALGRAVE)</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>

<style type="text/css">
    /*!
*
* Twitter Bootstrap
*
*/
/*!
 * Bootstrap v3.3.7 (http://getbootstrap.com)
 * Copyright 2011-2016 Twitter, Inc.
 * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
 */
/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
  font-family: sans-serif;
  -ms-text-size-adjust: 100%;
  -webkit-text-size-adjust: 100%;
}
body {
  margin: 0;
}
article,
aside,
details,
figcaption,
figure,
footer,
header,
hgroup,
main,
menu,
nav,
section,
summary {
  display: block;
}
audio,
canvas,
progress,
video {
  display: inline-block;
  vertical-align: baseline;
}
audio:not([controls]) {
  display: none;
  height: 0;
}
[hidden],
template {
  display: none;
}
a {
  background-color: transparent;
}
a:active,
a:hover {
  outline: 0;
}
abbr[title] {
  border-bottom: 1px dotted;
}
b,
strong {
  font-weight: bold;
}
dfn {
  font-style: italic;
}
h1 {
  font-size: 2em;
  margin: 0.67em 0;
}
mark {
  background: #ff0;
  color: #000;
}
small {
  font-size: 80%;
}
sub,
sup {
  font-size: 75%;
  line-height: 0;
  position: relative;
  vertical-align: baseline;
}
sup {
  top: -0.5em;
}
sub {
  bottom: -0.25em;
}
img {
  border: 0;
}
svg:not(:root) {
  overflow: hidden;
}
figure {
  margin: 1em 40px;
}
hr {
  box-sizing: content-box;
  height: 0;
}
pre {
  overflow: auto;
}
code,
kbd,
pre,
samp {
  font-family: monospace, monospace;
  font-size: 1em;
}
button,
input,
optgroup,
select,
textarea {
  color: inherit;
  font: inherit;
  margin: 0;
}
button {
  overflow: visible;
}
button,
select {
  text-transform: none;
}
button,
html input[type="button"],
input[type="reset"],
input[type="submit"] {
  -webkit-appearance: button;
  cursor: pointer;
}
button[disabled],
html input[disabled] {
  cursor: default;
}
button::-moz-focus-inner,
input::-moz-focus-inner {
  border: 0;
  padding: 0;
}
input {
  line-height: normal;
}
input[type="checkbox"],
input[type="radio"] {
  box-sizing: border-box;
  padding: 0;
}
input[type="number"]::-webkit-inner-spin-button,
input[type="number"]::-webkit-outer-spin-button {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: textfield;
  box-sizing: content-box;
}
input[type="search"]::-webkit-search-cancel-button,
input[type="search"]::-webkit-search-decoration {
  -webkit-appearance: none;
}
fieldset {
  border: 1px solid #c0c0c0;
  margin: 0 2px;
  padding: 0.35em 0.625em 0.75em;
}
legend {
  border: 0;
  padding: 0;
}
textarea {
  overflow: auto;
}
optgroup {
  font-weight: bold;
}
table {
  border-collapse: collapse;
  border-spacing: 0;
}
td,
th {
  padding: 0;
}
/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
@media print {
  *,
  *:before,
  *:after {
    background: transparent !important;
    color: #000 !important;
    box-shadow: none !important;
    text-shadow: none !important;
  }
  a,
  a:visited {
    text-decoration: underline;
  }
  a[href]:after {
    content: " (" attr(href) ")";
  }
  abbr[title]:after {
    content: " (" attr(title) ")";
  }
  a[href^="#"]:after,
  a[href^="javascript:"]:after {
    content: "";
  }
  pre,
  blockquote {
    border: 1px solid #999;
    page-break-inside: avoid;
  }
  thead {
    display: table-header-group;
  }
  tr,
  img {
    page-break-inside: avoid;
  }
  img {
    max-width: 100% !important;
  }
  p,
  h2,
  h3 {
    orphans: 3;
    widows: 3;
  }
  h2,
  h3 {
    page-break-after: avoid;
  }
  .navbar {
    display: none;
  }
  .btn > .caret,
  .dropup > .btn > .caret {
    border-top-color: #000 !important;
  }
  .label {
    border: 1px solid #000;
  }
  .table {
    border-collapse: collapse !important;
  }
  .table td,
  .table th {
    background-color: #fff !important;
  }
  .table-bordered th,
  .table-bordered td {
    border: 1px solid #ddd !important;
  }
}
@font-face {
  font-family: 'Glyphicons Halflings';
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot');
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix') format('embedded-opentype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff2') format('woff2'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff') format('woff'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.ttf') format('truetype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular') format('svg');
}
.glyphicon {
  position: relative;
  top: 1px;
  display: inline-block;
  font-family: 'Glyphicons Halflings';
  font-style: normal;
  font-weight: normal;
  line-height: 1;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
.glyphicon-asterisk:before {
  content: "\002a";
}
.glyphicon-plus:before {
  content: "\002b";
}
.glyphicon-euro:before,
.glyphicon-eur:before {
  content: "\20ac";
}
.glyphicon-minus:before {
  content: "\2212";
}
.glyphicon-cloud:before {
  content: "\2601";
}
.glyphicon-envelope:before {
  content: "\2709";
}
.glyphicon-pencil:before {
  content: "\270f";
}
.glyphicon-glass:before {
  content: "\e001";
}
.glyphicon-music:before {
  content: "\e002";
}
.glyphicon-search:before {
  content: "\e003";
}
.glyphicon-heart:before {
  content: "\e005";
}
.glyphicon-star:before {
  content: "\e006";
}
.glyphicon-star-empty:before {
  content: "\e007";
}
.glyphicon-user:before {
  content: "\e008";
}
.glyphicon-film:before {
  content: "\e009";
}
.glyphicon-th-large:before {
  content: "\e010";
}
.glyphicon-th:before {
  content: "\e011";
}
.glyphicon-th-list:before {
  content: "\e012";
}
.glyphicon-ok:before {
  content: "\e013";
}
.glyphicon-remove:before {
  content: "\e014";
}
.glyphicon-zoom-in:before {
  content: "\e015";
}
.glyphicon-zoom-out:before {
  content: "\e016";
}
.glyphicon-off:before {
  content: "\e017";
}
.glyphicon-signal:before {
  content: "\e018";
}
.glyphicon-cog:before {
  content: "\e019";
}
.glyphicon-trash:before {
  content: "\e020";
}
.glyphicon-home:before {
  content: "\e021";
}
.glyphicon-file:before {
  content: "\e022";
}
.glyphicon-time:before {
  content: "\e023";
}
.glyphicon-road:before {
  content: "\e024";
}
.glyphicon-download-alt:before {
  content: "\e025";
}
.glyphicon-download:before {
  content: "\e026";
}
.glyphicon-upload:before {
  content: "\e027";
}
.glyphicon-inbox:before {
  content: "\e028";
}
.glyphicon-play-circle:before {
  content: "\e029";
}
.glyphicon-repeat:before {
  content: "\e030";
}
.glyphicon-refresh:before {
  content: "\e031";
}
.glyphicon-list-alt:before {
  content: "\e032";
}
.glyphicon-lock:before {
  content: "\e033";
}
.glyphicon-flag:before {
  content: "\e034";
}
.glyphicon-headphones:before {
  content: "\e035";
}
.glyphicon-volume-off:before {
  content: "\e036";
}
.glyphicon-volume-down:before {
  content: "\e037";
}
.glyphicon-volume-up:before {
  content: "\e038";
}
.glyphicon-qrcode:before {
  content: "\e039";
}
.glyphicon-barcode:before {
  content: "\e040";
}
.glyphicon-tag:before {
  content: "\e041";
}
.glyphicon-tags:before {
  content: "\e042";
}
.glyphicon-book:before {
  content: "\e043";
}
.glyphicon-bookmark:before {
  content: "\e044";
}
.glyphicon-print:before {
  content: "\e045";
}
.glyphicon-camera:before {
  content: "\e046";
}
.glyphicon-font:before {
  content: "\e047";
}
.glyphicon-bold:before {
  content: "\e048";
}
.glyphicon-italic:before {
  content: "\e049";
}
.glyphicon-text-height:before {
  content: "\e050";
}
.glyphicon-text-width:before {
  content: "\e051";
}
.glyphicon-align-left:before {
  content: "\e052";
}
.glyphicon-align-center:before {
  content: "\e053";
}
.glyphicon-align-right:before {
  content: "\e054";
}
.glyphicon-align-justify:before {
  content: "\e055";
}
.glyphicon-list:before {
  content: "\e056";
}
.glyphicon-indent-left:before {
  content: "\e057";
}
.glyphicon-indent-right:before {
  content: "\e058";
}
.glyphicon-facetime-video:before {
  content: "\e059";
}
.glyphicon-picture:before {
  content: "\e060";
}
.glyphicon-map-marker:before {
  content: "\e062";
}
.glyphicon-adjust:before {
  content: "\e063";
}
.glyphicon-tint:before {
  content: "\e064";
}
.glyphicon-edit:before {
  content: "\e065";
}
.glyphicon-share:before {
  content: "\e066";
}
.glyphicon-check:before {
  content: "\e067";
}
.glyphicon-move:before {
  content: "\e068";
}
.glyphicon-step-backward:before {
  content: "\e069";
}
.glyphicon-fast-backward:before {
  content: "\e070";
}
.glyphicon-backward:before {
  content: "\e071";
}
.glyphicon-play:before {
  content: "\e072";
}
.glyphicon-pause:before {
  content: "\e073";
}
.glyphicon-stop:before {
  content: "\e074";
}
.glyphicon-forward:before {
  content: "\e075";
}
.glyphicon-fast-forward:before {
  content: "\e076";
}
.glyphicon-step-forward:before {
  content: "\e077";
}
.glyphicon-eject:before {
  content: "\e078";
}
.glyphicon-chevron-left:before {
  content: "\e079";
}
.glyphicon-chevron-right:before {
  content: "\e080";
}
.glyphicon-plus-sign:before {
  content: "\e081";
}
.glyphicon-minus-sign:before {
  content: "\e082";
}
.glyphicon-remove-sign:before {
  content: "\e083";
}
.glyphicon-ok-sign:before {
  content: "\e084";
}
.glyphicon-question-sign:before {
  content: "\e085";
}
.glyphicon-info-sign:before {
  content: "\e086";
}
.glyphicon-screenshot:before {
  content: "\e087";
}
.glyphicon-remove-circle:before {
  content: "\e088";
}
.glyphicon-ok-circle:before {
  content: "\e089";
}
.glyphicon-ban-circle:before {
  content: "\e090";
}
.glyphicon-arrow-left:before {
  content: "\e091";
}
.glyphicon-arrow-right:before {
  content: "\e092";
}
.glyphicon-arrow-up:before {
  content: "\e093";
}
.glyphicon-arrow-down:before {
  content: "\e094";
}
.glyphicon-share-alt:before {
  content: "\e095";
}
.glyphicon-resize-full:before {
  content: "\e096";
}
.glyphicon-resize-small:before {
  content: "\e097";
}
.glyphicon-exclamation-sign:before {
  content: "\e101";
}
.glyphicon-gift:before {
  content: "\e102";
}
.glyphicon-leaf:before {
  content: "\e103";
}
.glyphicon-fire:before {
  content: "\e104";
}
.glyphicon-eye-open:before {
  content: "\e105";
}
.glyphicon-eye-close:before {
  content: "\e106";
}
.glyphicon-warning-sign:before {
  content: "\e107";
}
.glyphicon-plane:before {
  content: "\e108";
}
.glyphicon-calendar:before {
  content: "\e109";
}
.glyphicon-random:before {
  content: "\e110";
}
.glyphicon-comment:before {
  content: "\e111";
}
.glyphicon-magnet:before {
  content: "\e112";
}
.glyphicon-chevron-up:before {
  content: "\e113";
}
.glyphicon-chevron-down:before {
  content: "\e114";
}
.glyphicon-retweet:before {
  content: "\e115";
}
.glyphicon-shopping-cart:before {
  content: "\e116";
}
.glyphicon-folder-close:before {
  content: "\e117";
}
.glyphicon-folder-open:before {
  content: "\e118";
}
.glyphicon-resize-vertical:before {
  content: "\e119";
}
.glyphicon-resize-horizontal:before {
  content: "\e120";
}
.glyphicon-hdd:before {
  content: "\e121";
}
.glyphicon-bullhorn:before {
  content: "\e122";
}
.glyphicon-bell:before {
  content: "\e123";
}
.glyphicon-certificate:before {
  content: "\e124";
}
.glyphicon-thumbs-up:before {
  content: "\e125";
}
.glyphicon-thumbs-down:before {
  content: "\e126";
}
.glyphicon-hand-right:before {
  content: "\e127";
}
.glyphicon-hand-left:before {
  content: "\e128";
}
.glyphicon-hand-up:before {
  content: "\e129";
}
.glyphicon-hand-down:before {
  content: "\e130";
}
.glyphicon-circle-arrow-right:before {
  content: "\e131";
}
.glyphicon-circle-arrow-left:before {
  content: "\e132";
}
.glyphicon-circle-arrow-up:before {
  content: "\e133";
}
.glyphicon-circle-arrow-down:before {
  content: "\e134";
}
.glyphicon-globe:before {
  content: "\e135";
}
.glyphicon-wrench:before {
  content: "\e136";
}
.glyphicon-tasks:before {
  content: "\e137";
}
.glyphicon-filter:before {
  content: "\e138";
}
.glyphicon-briefcase:before {
  content: "\e139";
}
.glyphicon-fullscreen:before {
  content: "\e140";
}
.glyphicon-dashboard:before {
  content: "\e141";
}
.glyphicon-paperclip:before {
  content: "\e142";
}
.glyphicon-heart-empty:before {
  content: "\e143";
}
.glyphicon-link:before {
  content: "\e144";
}
.glyphicon-phone:before {
  content: "\e145";
}
.glyphicon-pushpin:before {
  content: "\e146";
}
.glyphicon-usd:before {
  content: "\e148";
}
.glyphicon-gbp:before {
  content: "\e149";
}
.glyphicon-sort:before {
  content: "\e150";
}
.glyphicon-sort-by-alphabet:before {
  content: "\e151";
}
.glyphicon-sort-by-alphabet-alt:before {
  content: "\e152";
}
.glyphicon-sort-by-order:before {
  content: "\e153";
}
.glyphicon-sort-by-order-alt:before {
  content: "\e154";
}
.glyphicon-sort-by-attributes:before {
  content: "\e155";
}
.glyphicon-sort-by-attributes-alt:before {
  content: "\e156";
}
.glyphicon-unchecked:before {
  content: "\e157";
}
.glyphicon-expand:before {
  content: "\e158";
}
.glyphicon-collapse-down:before {
  content: "\e159";
}
.glyphicon-collapse-up:before {
  content: "\e160";
}
.glyphicon-log-in:before {
  content: "\e161";
}
.glyphicon-flash:before {
  content: "\e162";
}
.glyphicon-log-out:before {
  content: "\e163";
}
.glyphicon-new-window:before {
  content: "\e164";
}
.glyphicon-record:before {
  content: "\e165";
}
.glyphicon-save:before {
  content: "\e166";
}
.glyphicon-open:before {
  content: "\e167";
}
.glyphicon-saved:before {
  content: "\e168";
}
.glyphicon-import:before {
  content: "\e169";
}
.glyphicon-export:before {
  content: "\e170";
}
.glyphicon-send:before {
  content: "\e171";
}
.glyphicon-floppy-disk:before {
  content: "\e172";
}
.glyphicon-floppy-saved:before {
  content: "\e173";
}
.glyphicon-floppy-remove:before {
  content: "\e174";
}
.glyphicon-floppy-save:before {
  content: "\e175";
}
.glyphicon-floppy-open:before {
  content: "\e176";
}
.glyphicon-credit-card:before {
  content: "\e177";
}
.glyphicon-transfer:before {
  content: "\e178";
}
.glyphicon-cutlery:before {
  content: "\e179";
}
.glyphicon-header:before {
  content: "\e180";
}
.glyphicon-compressed:before {
  content: "\e181";
}
.glyphicon-earphone:before {
  content: "\e182";
}
.glyphicon-phone-alt:before {
  content: "\e183";
}
.glyphicon-tower:before {
  content: "\e184";
}
.glyphicon-stats:before {
  content: "\e185";
}
.glyphicon-sd-video:before {
  content: "\e186";
}
.glyphicon-hd-video:before {
  content: "\e187";
}
.glyphicon-subtitles:before {
  content: "\e188";
}
.glyphicon-sound-stereo:before {
  content: "\e189";
}
.glyphicon-sound-dolby:before {
  content: "\e190";
}
.glyphicon-sound-5-1:before {
  content: "\e191";
}
.glyphicon-sound-6-1:before {
  content: "\e192";
}
.glyphicon-sound-7-1:before {
  content: "\e193";
}
.glyphicon-copyright-mark:before {
  content: "\e194";
}
.glyphicon-registration-mark:before {
  content: "\e195";
}
.glyphicon-cloud-download:before {
  content: "\e197";
}
.glyphicon-cloud-upload:before {
  content: "\e198";
}
.glyphicon-tree-conifer:before {
  content: "\e199";
}
.glyphicon-tree-deciduous:before {
  content: "\e200";
}
.glyphicon-cd:before {
  content: "\e201";
}
.glyphicon-save-file:before {
  content: "\e202";
}
.glyphicon-open-file:before {
  content: "\e203";
}
.glyphicon-level-up:before {
  content: "\e204";
}
.glyphicon-copy:before {
  content: "\e205";
}
.glyphicon-paste:before {
  content: "\e206";
}
.glyphicon-alert:before {
  content: "\e209";
}
.glyphicon-equalizer:before {
  content: "\e210";
}
.glyphicon-king:before {
  content: "\e211";
}
.glyphicon-queen:before {
  content: "\e212";
}
.glyphicon-pawn:before {
  content: "\e213";
}
.glyphicon-bishop:before {
  content: "\e214";
}
.glyphicon-knight:before {
  content: "\e215";
}
.glyphicon-baby-formula:before {
  content: "\e216";
}
.glyphicon-tent:before {
  content: "\26fa";
}
.glyphicon-blackboard:before {
  content: "\e218";
}
.glyphicon-bed:before {
  content: "\e219";
}
.glyphicon-apple:before {
  content: "\f8ff";
}
.glyphicon-erase:before {
  content: "\e221";
}
.glyphicon-hourglass:before {
  content: "\231b";
}
.glyphicon-lamp:before {
  content: "\e223";
}
.glyphicon-duplicate:before {
  content: "\e224";
}
.glyphicon-piggy-bank:before {
  content: "\e225";
}
.glyphicon-scissors:before {
  content: "\e226";
}
.glyphicon-bitcoin:before {
  content: "\e227";
}
.glyphicon-btc:before {
  content: "\e227";
}
.glyphicon-xbt:before {
  content: "\e227";
}
.glyphicon-yen:before {
  content: "\00a5";
}
.glyphicon-jpy:before {
  content: "\00a5";
}
.glyphicon-ruble:before {
  content: "\20bd";
}
.glyphicon-rub:before {
  content: "\20bd";
}
.glyphicon-scale:before {
  content: "\e230";
}
.glyphicon-ice-lolly:before {
  content: "\e231";
}
.glyphicon-ice-lolly-tasted:before {
  content: "\e232";
}
.glyphicon-education:before {
  content: "\e233";
}
.glyphicon-option-horizontal:before {
  content: "\e234";
}
.glyphicon-option-vertical:before {
  content: "\e235";
}
.glyphicon-menu-hamburger:before {
  content: "\e236";
}
.glyphicon-modal-window:before {
  content: "\e237";
}
.glyphicon-oil:before {
  content: "\e238";
}
.glyphicon-grain:before {
  content: "\e239";
}
.glyphicon-sunglasses:before {
  content: "\e240";
}
.glyphicon-text-size:before {
  content: "\e241";
}
.glyphicon-text-color:before {
  content: "\e242";
}
.glyphicon-text-background:before {
  content: "\e243";
}
.glyphicon-object-align-top:before {
  content: "\e244";
}
.glyphicon-object-align-bottom:before {
  content: "\e245";
}
.glyphicon-object-align-horizontal:before {
  content: "\e246";
}
.glyphicon-object-align-left:before {
  content: "\e247";
}
.glyphicon-object-align-vertical:before {
  content: "\e248";
}
.glyphicon-object-align-right:before {
  content: "\e249";
}
.glyphicon-triangle-right:before {
  content: "\e250";
}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.2.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.2.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.2.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.2.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.2.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.2.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=1);
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2);
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=3);
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1);
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1);
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

    Firefox 28.0+
    Chrome 29.0+
    Internet Explorer 11+ 
    Opera 17.0+

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  padding-bottom: 5px;
  padding-top: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
body > #header .header-bar {
  width: 100%;
  height: 1px;
  background: #e7e7e7;
  margin-bottom: -1px;
}
@media print {
  body > #header {
    display: none !important;
  }
}
#header-spacer {
  width: 100%;
  visibility: hidden;
}
@media print {
  #header-spacer {
    display: none;
  }
}
#ipython_notebook {
  padding-left: 0px;
  padding-top: 1px;
  padding-bottom: 1px;
}
@media (max-width: 991px) {
  #ipython_notebook {
    margin-left: 10px;
  }
}
[dir="rtl"] #ipython_notebook {
  float: right !important;
}
#noscript {
  width: auto;
  padding-top: 16px;
  padding-bottom: 16px;
  text-align: center;
  font-size: 22px;
  color: red;
  font-weight: bold;
}
#ipython_notebook img {
  height: 28px;
}
#site {
  width: 100%;
  display: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  overflow: auto;
}
@media print {
  #site {
    height: auto !important;
  }
}
/* Smaller buttons */
.ui-button .ui-button-text {
  padding: 0.2em 0.8em;
  font-size: 77%;
}
input.ui-button {
  padding: 0.3em 0.9em;
}
span#login_widget {
  float: right;
}
span#login_widget > .button,
#logout {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
  background-color: none;
  display: inline;
}
.alternate_upload.form {
  padding: 0;
  margin: 0;
}
.alternate_upload input.fileinput {
  text-align: center;
  vertical-align: middle;
  display: inline;
  opacity: 0;
  z-index: 2;
  width: 12ex;
  margin-right: -12ex;
}
.alternate_upload .btn-upload {
  height: 22px;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
[dir="rtl"] #tabs li {
  float: right;
}
ul#tabs {
  margin-bottom: 4px;
}
[dir="rtl"] ul#tabs {
  margin-right: 0px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
  text-decoration: none;
}
ul.breadcrumb i.icon-home {
  font-size: 16px;
  margin-right: 4px;
}
ul.breadcrumb span {
  color: #5e5e5e;
}
.list_toolbar {
  padding: 4px 0 4px 0;
  vertical-align: middle;
}
.list_toolbar .tree-buttons {
  padding-top: 1px;
}
[dir="rtl"] .list_toolbar .tree-buttons {
  float: left !important;
}
[dir="rtl"] .list_toolbar .pull-right {
  padding-top: 1px;
  float: left !important;
}
[dir="rtl"] .list_toolbar .pull-left {
  float: right !important;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: baseline;
  line-height: 22px;
  position: relative;
  top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
  margin-left: -1px;
  vertical-align: baseline;
  line-height: 22px;
}
.new-file input[type=checkbox] {
  visibility: hidden;
}
.item_name {
  line-height: 22px;
  height: 24px;
}
.item_icon {
  font-size: 14px;
  color: #5e5e5e;
  margin-right: 7px;
  margin-left: 7px;
  line-height: 22px;
  vertical-align: baseline;
}
.item_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #5cb85c;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
.toolbar_info {
  height: 24px;
  line-height: 24px;
}
.list_item input:not([type=checkbox]) {
  padding-top: 3px;
  padding-bottom: 3px;
  height: 22px;
  line-height: 14px;
  margin: 0px;
}
.highlight_text {
  color: blue;
}
#project_name {
  display: inline-block;
  padding-left: 7px;
  margin-left: -2px;
}
#project_name > .breadcrumb {
  padding: 0px;
  margin-bottom: 0px;
  background-color: transparent;
  font-weight: bold;
}
#tree-selector {
  padding-right: 0px;
}
[dir="rtl"] #tree-selector a {
  float: right;
}
#button-select-all {
  min-width: 50px;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
}
.menu_icon {
  margin-right: 2px;
}
.tab-content .row {
  margin-left: 0px;
  margin-right: 0px;
}
.folder_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f114";
}
.folder_icon:before.pull-left {
  margin-right: .3em;
}
.folder_icon:before.pull-right {
  margin-left: .3em;
}
.notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
}
.notebook_icon:before.pull-left {
  margin-right: .3em;
}
.notebook_icon:before.pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
  color: #5cb85c;
}
.running_notebook_icon:before.pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
  margin-left: .3em;
}
.file_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f016";
  position: relative;
  top: -2px;
}
.file_icon:before.pull-left {
  margin-right: .3em;
}
.file_icon:before.pull-right {
  margin-left: .3em;
}
#notebook_toolbar .pull-right {
  padding-top: 0px;
  margin-right: -1px;
}
ul#new-menu {
  left: auto;
  right: 0;
}
[dir="rtl"] #new-menu {
  text-align: right;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
[dir="rtl"] #running .col-sm-8 {
  float: right !important;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.shutdown-button {
  display: none;
}
.dynamic-instructions {
  display: inline-block;
  padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
  padding: 0px 5px;
}
.selected-keymap i.fa:before {
  content: "\f00c";
}
#mode-menu {
  overflow: auto;
  max-height: 20em;
}
.edit_app #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
  /* Use a negative 1 bottom margin, so the border overlaps the border of the
    header */
  margin-bottom: -1px;
}
.dirty-indicator {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator.pull-left {
  margin-right: .3em;
}
.dirty-indicator.pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-dirty.pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-clean.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f00c";
}
.dirty-indicator-clean:before.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI colors. */
.ansibold {
  font-weight: bold;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  border-left-width: 1px;
  padding-left: 5px;
  background: linear-gradient(to right, transparent -40px, transparent 1px, transparent 1px, transparent 100%);
}
div.cell.jupyter-soft-selected {
  border-left-color: #90CAF9;
  border-left-color: #E3F2FD;
  border-left-width: 1px;
  padding-left: 5px;
  border-right-color: #E3F2FD;
  border-right-width: 1px;
  background: #E3F2FD;
}
@media print {
  div.cell.jupyter-soft-selected {
    border-color: transparent;
  }
}
div.cell.selected {
  border-color: #ababab;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 5px, transparent 5px, transparent 100%);
}
@media print {
  div.cell.selected {
    border-color: transparent;
  }
}
div.cell.selected.jupyter-soft-selected {
  border-left-width: 0;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 7px, #E3F2FD 7px, #E3F2FD 100%);
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #66BB6A -40px, #66BB6A 5px, transparent 5px, transparent 100%);
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  min-width: 0;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  padding: 0.4em;
}
.CodeMirror-linenumber {
  padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.CodeMirror pre {
  /* In CM3 this went to 4px from 0 in CM2. We need the 0 value because of how we size */
  /* .CodeMirror-lines */
  padding: 0;
  border: 0;
  border-radius: 0;
}
/*

Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
Adapted from GitHub theme

*/
.highlight-base {
  color: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul {
  list-style: disc;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ul ul {
  list-style: square;
  margin: 0em 2em;
}
.rendered_html ul ul ul {
  list-style: circle;
  margin: 0em 2em;
}
.rendered_html ol {
  list-style: decimal;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
  margin: 0em 2em;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  background-color: #fff;
  color: #000;
  font-size: 100%;
  padding: 0px;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: 1px solid black;
  border-collapse: collapse;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  border: 1px solid black;
  border-collapse: collapse;
  margin: 1em 2em;
}
.rendered_html td,
.rendered_html th {
  text-align: left;
  vertical-align: middle;
  padding: 4px;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget {
  float: right !important;
  float: right;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  margin-top: 6px;
}
span.save_widget span.filename {
  height: 1em;
  line-height: 1em;
  padding: 3px;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 80px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  display: none;
}
.command-shortcut:before {
  content: "(command)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #EEE;
}
.terminal-app #header {
  background: #fff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
  width: 100%;
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
}
.terminal-app .terminal,
.terminal-app .terminal dummy-screen {
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal .xterm-rows {
  padding: 10px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app #terminado-container {
  margin-top: 20px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
.highlight .mf { color: #666666 } /* Literal.Number.Float */
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
.highlight .sa { color: #BA2121 } /* Literal.String.Affix */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .dl { color: #BA2121 } /* Literal.String.Delimiter */
.highlight .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */
.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
.highlight .sx { color: #008000 } /* Literal.String.Other */
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
.highlight .fm { color: #0000FF } /* Name.Function.Magic */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .vm { color: #19177C } /* Name.Variable.Magic */
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
    </style>
<style type="text/css">
    
/* Temporary definitions which will become obsolete with Notebook release 5.0 */
.ansi-black-fg { color: #3E424D; }
.ansi-black-bg { background-color: #3E424D; }
.ansi-black-intense-fg { color: #282C36; }
.ansi-black-intense-bg { background-color: #282C36; }
.ansi-red-fg { color: #E75C58; }
.ansi-red-bg { background-color: #E75C58; }
.ansi-red-intense-fg { color: #B22B31; }
.ansi-red-intense-bg { background-color: #B22B31; }
.ansi-green-fg { color: #00A250; }
.ansi-green-bg { background-color: #00A250; }
.ansi-green-intense-fg { color: #007427; }
.ansi-green-intense-bg { background-color: #007427; }
.ansi-yellow-fg { color: #DDB62B; }
.ansi-yellow-bg { background-color: #DDB62B; }
.ansi-yellow-intense-fg { color: #B27D12; }
.ansi-yellow-intense-bg { background-color: #B27D12; }
.ansi-blue-fg { color: #208FFB; }
.ansi-blue-bg { background-color: #208FFB; }
.ansi-blue-intense-fg { color: #0065CA; }
.ansi-blue-intense-bg { background-color: #0065CA; }
.ansi-magenta-fg { color: #D160C4; }
.ansi-magenta-bg { background-color: #D160C4; }
.ansi-magenta-intense-fg { color: #A03196; }
.ansi-magenta-intense-bg { background-color: #A03196; }
.ansi-cyan-fg { color: #60C6C8; }
.ansi-cyan-bg { background-color: #60C6C8; }
.ansi-cyan-intense-fg { color: #258F8F; }
.ansi-cyan-intense-bg { background-color: #258F8F; }
.ansi-white-fg { color: #C5C1B4; }
.ansi-white-bg { background-color: #C5C1B4; }
.ansi-white-intense-fg { color: #A1A6B2; }
.ansi-white-intense-bg { background-color: #A1A6B2; }

.ansi-bold { font-weight: bold; }

    </style>


<style type="text/css">
/* Overrides of notebook CSS for static HTML export */
body {
  overflow: visible;
  padding: 8px;
}

div#notebook {
  overflow: visible;
  border-top: none;
}@media print {
  div.cell {
    display: block;
    page-break-inside: avoid;
  } 
  div.output_wrapper { 
    display: block;
    page-break-inside: avoid; 
  }
  div.output { 
    display: block;
    page-break-inside: avoid; 
  }
}
</style>

<!-- Custom stylesheet, it must be in the same directory as the html file -->
<link rel="stylesheet" href="custom.css">

<!-- Loading mathjax macro -->
<!-- Load mathjax -->
    <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS_HTML"></script>
    <!-- MathJax configuration -->
    <script type="text/x-mathjax-config">
    MathJax.Hub.Config({
        tex2jax: {
            inlineMath: [ ['$','$'], ["\\(","\\)"] ],
            displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
            processEscapes: true,
            processEnvironments: true
        },
        // Center justify equations in code and markdown cells. Elsewhere
        // we use CSS to left justify single line equations in code cells.
        displayAlign: 'center',
        "HTML-CSS": {
            styles: {'.MathJax_Display': {"margin": 0}},
            linebreaks: { automatic: true }
        }
    });
    </script>
    <!-- End of mathjax configuration --></head>
<body>
  <div tabindex="-1" id="notebook" class="border-box-sizing">
    <div class="container" id="notebook-container">

<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[2]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="kn">library</span><span class="p">(</span>data.table<span class="p">)</span>
<span class="kn">library</span><span class="p">(</span>reshape2<span class="p">)</span>

<span class="kn">library</span><span class="p">(</span>vars<span class="p">)</span>
<span class="kn">library</span><span class="p">(</span>urca<span class="p">)</span>
<span class="kn">library</span><span class="p">(</span>dynlm<span class="p">)</span>
<span class="kn">library</span><span class="p">(</span>tseries<span class="p">)</span>

<span class="kn">library</span><span class="p">(</span>ggplot2<span class="p">)</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Data">Data<a class="anchor-link" href="#Data">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>First, we need to have a dataframe df with each row representing time, with the following columns: monthly dates (<code>t</code>), polarization (<code>polarization_complicated</code>), homophily (<code>homophily</code>).</p>
<p>Please note that <code>polarization_complicated</code> is just a name for a variable :)</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[9]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="kn">attach</span><span class="p">(</span>df<span class="p">)</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Understanding-Relationship-between-y-(polarization)-and-x-(homophily):-Univariate-scenario">Understanding Relationship between y (polarization) and x (homophily): Univariate scenario<a class="anchor-link" href="#Understanding-Relationship-between-y-(polarization)-and-x-(homophily):-Univariate-scenario">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="visual">visual<a class="anchor-link" href="#visual">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[41]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>axisText <span class="o">=</span> <span class="m">6</span>
axisLabel <span class="o">=</span> <span class="m">8</span>

shift_by <span class="o">=</span> <span class="m">0</span><span class="c1">#0.05</span>

p1 <span class="o">&lt;-</span> ggplot<span class="p">(</span>df<span class="p">)</span> <span class="o">+</span> 
  geom_point<span class="p">(</span>aes<span class="p">(</span><span class="kp">t</span><span class="p">,</span> polarization_complicated<span class="o">-</span>shift_by<span class="p">),</span> color<span class="o">=</span><span class="s">&#39;steelblue&#39;</span><span class="p">,</span> alpha<span class="o">=</span><span class="m">0.2</span><span class="p">)</span> <span class="o">+</span>
  geom_point<span class="p">(</span>aes<span class="p">(</span><span class="kp">t</span><span class="p">,</span> homophily<span class="p">),</span> color<span class="o">=</span><span class="s">&#39;orange&#39;</span><span class="p">,</span> alpha<span class="o">=</span><span class="m">0.2</span><span class="p">)</span> <span class="o">+</span>
  geom_smooth<span class="p">(</span>aes<span class="p">(</span><span class="kp">t</span><span class="p">,</span> polarzn_complicated<span class="o">-</span>shift_by<span class="p">),</span> method <span class="o">=</span> <span class="s">&quot;loess&quot;</span><span class="p">,</span> span <span class="o">=</span> <span class="m">0.5</span><span class="p">,</span> se <span class="o">=</span> <span class="kc">TRUE</span><span class="p">,</span> color<span class="o">=</span><span class="s">&#39;steelblue&#39;</span><span class="p">)</span> <span class="o">+</span>
  geom_smooth<span class="p">(</span>aes<span class="p">(</span><span class="kp">t</span><span class="p">,</span> homophily<span class="p">),</span> method <span class="o">=</span> <span class="s">&quot;loess&quot;</span><span class="p">,</span> span <span class="o">=</span> <span class="m">0.5</span><span class="p">,</span> se <span class="o">=</span> <span class="kc">TRUE</span><span class="p">,</span> color<span class="o">=</span><span class="s">&#39;orange&#39;</span><span class="p">)</span><span class="o">+</span>
  theme_classic<span class="p">()</span> <span class="o">+</span> 
  xlab<span class="p">(</span><span class="s">&quot;Time&quot;</span><span class="p">)</span> <span class="o">+</span> ylab<span class="p">(</span><span class="s">&quot;Value&quot;</span><span class="p">)</span> <span class="o">+</span> 
  theme<span class="p">(</span>axis.text<span class="o">=</span>element_text<span class="p">(</span>size<span class="o">=</span>axisText<span class="p">),</span> axis.title<span class="o">=</span>element_text<span class="p">(</span>size<span class="o">=</span>axisLabel<span class="p">))</span>

p1

ggsave<span class="p">(</span><span class="s">&#39;./figs/1evolution_h.pdf&#39;</span><span class="p">,</span> p1<span class="p">,</span> width <span class="o">=</span> <span class="m">10</span><span class="p">,</span> height <span class="o">=</span> <span class="m">6</span><span class="p">,</span> units <span class="o">=</span> <span class="kt">c</span><span class="p">(</span><span class="s">&quot;cm&quot;</span><span class="p">),</span> dpi <span class="o">=</span> <span class="m">300</span><span class="p">)</span> <span class="c1">#device = &#39;pdf&#39;,</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>


<div class="output_subarea output_stream output_stderr output_text">
<pre>Warning message:
“Removed 3 rows containing non-finite values (stat_smooth).”Warning message:
“Removed 3 rows containing missing values (geom_point).”</pre>
</div>
</div>

<div class="output_area">

<div class="prompt"></div>





</div>

<div class="output_area">

<div class="prompt"></div>


<div class="output_subarea output_stream output_stderr output_text">
<pre>Warning message:
“Removed 3 rows containing non-finite values (stat_smooth).”Warning message:
“Removed 3 rows containing missing values (geom_point).”</pre>
</div>
</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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=="
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Although the curves follow similar patterns, infering a relationship at this stage would be spurious due to autocorrelation in the curves.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="regression-(Full-Sample)">regression (Full Sample)<a class="anchor-link" href="#regression-(Full-Sample)">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[63]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1">#df</span>

m0 <span class="o">&lt;-</span> lm<span class="p">(</span> polarzn_complicated <span class="o">~</span> homophily <span class="p">)</span>
<span class="c1">#m2 &lt;- lm( polarzn_complicated ~ homophily + shift(homophily,1) )</span>

m1 <span class="o">&lt;-</span> lm<span class="p">(</span> polarzn_complicated <span class="o">~</span> homophily <span class="o">+</span> shift<span class="p">(</span>homophily<span class="p">,</span><span class="m">1</span><span class="p">)</span> <span class="o">+</span> shift<span class="p">(</span>polarzn_complicated<span class="p">,</span><span class="m">1</span><span class="p">)</span> <span class="p">)</span>

<span class="c1">#**</span>
m2 <span class="o">&lt;-</span> lm<span class="p">(</span> polarzn_complicated <span class="o">~</span> homophily <span class="o">+</span> shift<span class="p">(</span>homophily<span class="p">,</span><span class="m">1</span><span class="p">)</span> <span class="o">+</span> shift<span class="p">(</span>homophily<span class="p">,</span><span class="m">2</span><span class="p">)</span> <span class="o">+</span> 
         shift<span class="p">(</span>polarzn_complicated<span class="p">,</span><span class="m">1</span><span class="p">)</span> <span class="o">+</span> shift<span class="p">(</span>polarzn_complicated<span class="p">,</span><span class="m">2</span><span class="p">)</span> <span class="c1">#+ shift(polarzn_complicated,3)</span>
        <span class="p">)</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[64]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="kp">summary</span><span class="p">(</span>m0<span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>m1<span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>m2<span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
Call:
lm(formula = polarzn_complicated ~ homophily)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.119029 -0.020414 -0.000017  0.021930  0.096008 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)  0.52460    0.01982  26.474  &lt; 2e-16 ***
homophily   -0.20198    0.02483  -8.134 3.25e-13 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.03042 on 127 degrees of freedom
  (3 observations deleted due to missingness)
Multiple R-squared:  0.3425,	Adjusted R-squared:  0.3373 
F-statistic: 66.16 on 1 and 127 DF,  p-value: 3.246e-13
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
Call:
lm(formula = polarzn_complicated ~ homophily + shift(homophily, 
    1) + shift(polarzn_complicated, 1))

Residuals:
      Min        1Q    Median        3Q       Max 
-0.113735 -0.018002  0.000638  0.017476  0.125954 

Coefficients:
                               Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)                    0.381147   0.047715   7.988 8.35e-13 ***
homophily                     -0.153239   0.043145  -3.552 0.000543 ***
shift(homophily, 1)           -0.006554   0.045661  -0.144 0.886102    
shift(polarzn_complicated, 1)  0.304030   0.082979   3.664 0.000368 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02809 on 123 degrees of freedom
  (5 observations deleted due to missingness)
Multiple R-squared:  0.4481,	Adjusted R-squared:  0.4347 
F-statistic: 33.29 on 3 and 123 DF,  p-value: 7.979e-16
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
Call:
lm(formula = polarzn_complicated ~ homophily + shift(homophily, 
    1) + shift(homophily, 2) + shift(polarzn_complicated, 1) + 
    shift(polarzn_complicated, 2))

Residuals:
      Min        1Q    Median        3Q       Max 
-0.117793 -0.017591  0.000993  0.017179  0.118589 

Coefficients:
                              Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)                    0.35916    0.05925   6.062  1.6e-08 ***
homophily                     -0.16153    0.04393  -3.677 0.000354 ***
shift(homophily, 1)           -0.04036    0.05440  -0.742 0.459548    
shift(homophily, 2)            0.05091    0.04672   1.090 0.278102    
shift(polarzn_complicated, 1)  0.26194    0.09271   2.825 0.005533 ** 
shift(polarzn_complicated, 2)  0.08416    0.08903   0.945 0.346395    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02811 on 120 degrees of freedom
  (6 observations deleted due to missingness)
Multiple R-squared:  0.4595,	Adjusted R-squared:  0.437 
F-statistic:  20.4 on 5 and 120 DF,  p-value: 1.073e-14
</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="residuals">residuals<a class="anchor-link" href="#residuals">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[70]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>plot<span class="p">(</span>residuals<span class="p">(</span>m0<span class="p">),</span> type<span class="o">=</span><span class="s">&quot;o&quot;</span><span class="p">,</span> col<span class="o">=</span><span class="s">&quot;blue&quot;</span><span class="p">,</span> xlab<span class="o">=</span><span class="s">&quot;Index&quot;</span><span class="p">,</span> ylab<span class="o">=</span><span class="s">&quot;Residuals&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;Residuals: m1&quot;</span><span class="p">)</span>
plot<span class="p">(</span>residuals<span class="p">(</span>m1<span class="p">),</span> type<span class="o">=</span><span class="s">&quot;o&quot;</span><span class="p">,</span> col<span class="o">=</span><span class="s">&quot;blue&quot;</span><span class="p">,</span> xlab<span class="o">=</span><span class="s">&quot;Index&quot;</span><span class="p">,</span> ylab<span class="o">=</span><span class="s">&quot;Residuals&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;Residuals: m2&quot;</span><span class="p">)</span>
plot<span class="p">(</span>residuals<span class="p">(</span>m2<span class="p">),</span> type<span class="o">=</span><span class="s">&quot;o&quot;</span><span class="p">,</span> col<span class="o">=</span><span class="s">&quot;blue&quot;</span><span class="p">,</span> xlab<span class="o">=</span><span class="s">&quot;Index&quot;</span><span class="p">,</span> ylab<span class="o">=</span><span class="s">&quot;Residuals&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;Residuals: m3&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[71]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># ACF, PACF: residuals for all models</span>

acf<span class="p">(</span>residuals<span class="p">(</span>m0<span class="p">),</span> col<span class="o">=</span><span class="s">&quot;red&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;m1&quot;</span><span class="p">)</span>
acf<span class="p">(</span>residuals<span class="p">(</span>m1<span class="p">),</span> col<span class="o">=</span><span class="s">&quot;red&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;m2&quot;</span><span class="p">)</span>
acf<span class="p">(</span>residuals<span class="p">(</span>m2<span class="p">),</span> col<span class="o">=</span><span class="s">&quot;red&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;m3&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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=="
>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[72]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>pdf<span class="p">(</span><span class="s">&#39;./figs/1acf_h.pdf&#39;</span><span class="p">,</span> width <span class="o">=</span> <span class="m">10</span><span class="p">,</span> height<span class="o">=</span><span class="m">3</span><span class="p">)</span>
par<span class="p">(</span>mfrow<span class="o">=</span><span class="kt">c</span><span class="p">(</span><span class="m">1</span><span class="p">,</span><span class="m">3</span><span class="p">))</span> 

acf<span class="p">(</span>residuals<span class="p">(</span>m0<span class="p">),</span> col<span class="o">=</span><span class="s">&quot;red&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;m1&quot;</span><span class="p">)</span>
acf<span class="p">(</span>residuals<span class="p">(</span>m1<span class="p">),</span> col<span class="o">=</span><span class="s">&quot;red&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;m2&quot;</span><span class="p">)</span>
acf<span class="p">(</span>residuals<span class="p">(</span>m2<span class="p">),</span> col<span class="o">=</span><span class="s">&quot;red&quot;</span><span class="p">,</span> main<span class="o">=</span><span class="s">&quot;m3&quot;</span><span class="p">)</span>
dev.off<span class="p">()</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>



<div class="output_html rendered_html output_subarea ">
<strong>png:</strong> 2
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Model m3 has no autocorrelation. In the model, assortativity and lagged polarzn are significant.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Understanding-Relationship-between-y-(polarization)-and-x-(homophily):-Multivariate-scenario">Understanding Relationship between y (polarization) and x (homophily): Multivariate scenario<a class="anchor-link" href="#Understanding-Relationship-between-y-(polarization)-and-x-(homophily):-Multivariate-scenario">&#182;</a></h1><p><strong> FIRST INVESTIGATION </strong></p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="s">&#39;&#39;&#39;</span>
<span class="s">stationarity is assumed :: basically control for t and t^2</span>


<span class="s">VAR(y, p = 1, type = c(&quot;const&quot;, &quot;trend&quot;, &quot;both&quot;, &quot;none&quot;),</span>
<span class="s">season = NULL, exogen = NULL, lag.max = NULL,</span>
<span class="s">ic = c(&quot;AIC&quot;, &quot;HQ&quot;, &quot;SC&quot;, &quot;FPE&quot;))</span>

<span class="s">SVAR(x, estmethod = c(&quot;scoring&quot;, &quot;direct&quot;), Amat = NULL, Bmat = NULL,</span>
<span class="s">start = NULL, max.iter = 100, conv.crit = 1e-07, maxls = 1,</span>
<span class="s">lrtest = TRUE, ...)</span>

<span class="s">SVEC(x, LR = NULL, SR = NULL, r = 1, start = NULL, max.iter = 100,</span>
<span class="s">conv.crit = 1e-07, maxls = 1, lrtest = TRUE, boot = FALSE, runs = 100)</span>


<span class="s">Diagnostic testing</span>
<span class="s">&#39;&#39;&#39;</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="Check-for-unit-root-processes">Check for unit root processes<a class="anchor-link" href="#Check-for-unit-root-processes">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[24]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="o">?</span>ur.df
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[10]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>adf1 <span class="o">&lt;-</span> ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>adf1<span class="p">)</span>

adf2 <span class="o">&lt;-</span> ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">)</span> <span class="c1"># </span>
<span class="kp">summary</span><span class="p">(</span>adf2<span class="p">)</span>

adf3 <span class="o">&lt;-</span> ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;drift&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>adf3<span class="p">)</span>

adf4 <span class="o">&lt;-</span> ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;drift&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>adf4<span class="p">)</span>

adf5 <span class="o">&lt;-</span> ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>adf5<span class="p">)</span>

adf6 <span class="o">&lt;-</span> ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">)</span> <span class="c1">#</span>
<span class="kp">summary</span><span class="p">(</span>adf6<span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression trend 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.112972 -0.018823  0.002917  0.019132  0.135278 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)  1.498e-01  3.311e-02   4.524 1.39e-05 ***
z.lag.1     -3.981e-01  8.645e-02  -4.605 9.93e-06 ***
tt          -6.679e-05  7.484e-05  -0.892   0.3739    
z.diff.lag  -1.675e-01  9.020e-02  -1.857   0.0656 .  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.03119 on 126 degrees of freedom
Multiple R-squared:  0.2531,	Adjusted R-squared:  0.2353 
F-statistic: 14.23 on 3 and 126 DF,  p-value: 4.807e-08


Value of test-statistic is: -4.6051 7.0768 10.6136 

Critical values for test statistics: 
      1pct  5pct 10pct
tau3 -3.99 -3.43 -3.13
phi2  6.22  4.75  4.07
phi3  8.43  6.49  5.47
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression trend 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.102173 -0.015267  0.002239  0.015899  0.120292 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)   
(Intercept)  1.120e-01  3.484e-02   3.214  0.00167 **
z.lag.1     -2.961e-01  9.104e-02  -3.253  0.00147 **
tt          -5.439e-05  7.390e-05  -0.736  0.46312   
z.diff.lag1 -2.972e-01  9.971e-02  -2.980  0.00347 **
z.diff.lag2 -2.728e-01  9.005e-02  -3.029  0.00298 **
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.0303 on 124 degrees of freedom
Multiple R-squared:  0.3024,	Adjusted R-squared:  0.2799 
F-statistic: 13.44 on 4 and 124 DF,  p-value: 3.97e-09


Value of test-statistic is: -3.2527 3.5336 5.2919 

Critical values for test statistics: 
      1pct  5pct 10pct
tau3 -3.99 -3.43 -3.13
phi2  6.22  4.75  4.07
phi3  8.43  6.49  5.47
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression drift 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.10920 -0.01745  0.00189  0.01970  0.14038 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)  0.13905    0.03083   4.511 1.45e-05 ***
z.lag.1     -0.38088    0.08420  -4.524 1.38e-05 ***
z.diff.lag  -0.17336    0.08989  -1.929    0.056 .  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.03116 on 127 degrees of freedom
Multiple R-squared:  0.2484,	Adjusted R-squared:  0.2365 
F-statistic: 20.98 on 2 and 127 DF,  p-value: 1.337e-08


Value of test-statistic is: -4.5237 10.2335 

Critical values for test statistics: 
      1pct  5pct 10pct
tau2 -3.46 -2.88 -2.57
phi1  6.52  4.63  3.81
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression drift 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.098950 -0.015112  0.002184  0.017508  0.124026 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)   
(Intercept)  0.10235    0.03224   3.175  0.00189 **
z.lag.1     -0.27976    0.08812  -3.175  0.00189 **
z.diff.lag1 -0.30623    0.09877  -3.100  0.00239 **
z.diff.lag2 -0.27832    0.08957  -3.107  0.00234 **
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.03025 on 125 degrees of freedom
Multiple R-squared:  0.2994,	Adjusted R-squared:  0.2825 
F-statistic:  17.8 on 3 and 125 DF,  p-value: 1.102e-09


Value of test-statistic is: -3.1748 5.048 

Critical values for test statistics: 
      1pct  5pct 10pct
tau2 -3.46 -2.88 -2.57
phi1  6.52  4.63  3.81
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression none 


Call:
lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.114326 -0.012242 -0.000891  0.014379  0.162964 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)    
z.lag.1    -0.002567   0.008010  -0.320    0.749    
z.diff.lag -0.365550   0.084922  -4.305  3.3e-05 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.03344 on 128 degrees of freedom
Multiple R-squared:  0.128,	Adjusted R-squared:  0.1143 
F-statistic: 9.392 on 2 and 128 DF,  p-value: 0.0001563


Value of test-statistic is: -0.3205 

Critical values for test statistics: 
      1pct  5pct 10pct
tau1 -2.58 -1.95 -1.62
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression none 


Call:
lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.098417 -0.015123 -0.000206  0.017358  0.131947 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
z.lag.1     -0.0009678  0.0075381  -0.128    0.898    
z.diff.lag1 -0.4818193  0.0847285  -5.687 8.57e-08 ***
z.diff.lag2 -0.3837660  0.0861338  -4.455 1.83e-05 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.03132 on 126 degrees of freedom
Multiple R-squared:  0.243,	Adjusted R-squared:  0.225 
F-statistic: 13.48 on 3 and 126 DF,  p-value: 1.099e-07


Value of test-statistic is: -0.1284 

Critical values for test statistics: 
      1pct  5pct 10pct
tau1 -2.58 -1.95 -1.62
</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[27]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>adf1 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">))</span> <span class="c1">#</span>
adf1

adf1 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">))</span> <span class="c1">#</span>
adf1

adf2 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;drift&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">))</span>
adf2

adf2 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;drift&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">))</span> 
adf2

adf3 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">))</span> <span class="c1">#</span>
adf3

adf3 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">]),</span> type <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">))</span> <span class="c1">#</span>
adf3
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression trend 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.18680 -0.02677  0.01047  0.03173  0.15468 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)  0.1562459  0.0448229   3.486 0.000682 ***
z.lag.1     -0.2245708  0.0651984  -3.444 0.000785 ***
tt           0.0003630  0.0001865   1.946 0.053949 .  
z.diff.lag  -0.1359611  0.0908948  -1.496 0.137287    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05707 on 122 degrees of freedom
Multiple R-squared:  0.1442,	Adjusted R-squared:  0.1231 
F-statistic:  6.85 on 3 and 122 DF,  p-value: 0.0002645


Value of test-statistic is: -3.4444 4.073 6.0316 

Critical values for test statistics: 
      1pct  5pct 10pct
tau3 -3.99 -3.43 -3.13
phi2  6.22  4.75  4.07
phi3  8.43  6.49  5.47
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression trend 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.201143 -0.027182  0.009888  0.029709  0.131680 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)   
(Intercept)  0.1177936  0.0450629   2.614   0.0101 * 
z.lag.1     -0.1734569  0.0657066  -2.640   0.0094 **
tt           0.0003190  0.0001841   1.732   0.0858 . 
z.diff.lag1 -0.2027616  0.0923438  -2.196   0.0300 * 
z.diff.lag2 -0.1830823  0.0882585  -2.074   0.0402 * 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05475 on 120 degrees of freedom
Multiple R-squared:  0.1735,	Adjusted R-squared:  0.146 
F-statistic: 6.299 on 4 and 120 DF,  p-value: 0.0001232


Value of test-statistic is: -2.6399 2.3462 3.4869 

Critical values for test statistics: 
      1pct  5pct 10pct
tau3 -3.99 -3.43 -3.13
phi2  6.22  4.75  4.07
phi3  8.43  6.49  5.47
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression drift 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.204546 -0.027223  0.007041  0.030239  0.145942 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)   
(Intercept)  0.11321    0.03943   2.871  0.00481 **
z.lag.1     -0.14056    0.04941  -2.845  0.00521 **
z.diff.lag  -0.17894    0.08916  -2.007  0.04696 * 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05771 on 123 degrees of freedom
Multiple R-squared:  0.1176,	Adjusted R-squared:  0.1032 
F-statistic: 8.196 on 2 and 123 DF,  p-value: 0.0004555


Value of test-statistic is: -2.8448 4.1225 

Critical values for test statistics: 
      1pct  5pct 10pct
tau2 -3.46 -2.88 -2.57
phi1  6.52  4.63  3.81
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression drift 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.219431 -0.026928  0.005785  0.031589  0.138382 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)   
(Intercept)  0.07767    0.03897   1.993  0.04852 * 
z.lag.1     -0.09655    0.04884  -1.977  0.05033 . 
z.diff.lag1 -0.24998    0.08896  -2.810  0.00578 **
z.diff.lag2 -0.21718    0.08674  -2.504  0.01363 * 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.0552 on 121 degrees of freedom
Multiple R-squared:  0.1529,	Adjusted R-squared:  0.1319 
F-statistic: 7.279 on 3 and 121 DF,  p-value: 0.0001576


Value of test-statistic is: -1.9769 1.9858 

Critical values for test statistics: 
      1pct  5pct 10pct
tau2 -3.46 -2.88 -2.57
phi1  6.52  4.63  3.81
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression none 


Call:
lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.198406 -0.028447  0.002441  0.036259  0.171233 

Coefficients:
             Estimate Std. Error t value Pr(&gt;|t|)   
z.lag.1     0.0001005  0.0066340   0.015  0.98794   
z.diff.lag -0.2461614  0.0885138  -2.781  0.00626 **
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05937 on 124 degrees of freedom
Multiple R-squared:  0.05898,	Adjusted R-squared:  0.0438 
F-statistic: 3.886 on 2 and 124 DF,  p-value: 0.02308


Value of test-statistic is: 0.0152 

Critical values for test statistics: 
      1pct  5pct 10pct
tau1 -2.58 -1.95 -1.62
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression none 


Call:
lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.217987 -0.026724  0.003373  0.030688  0.151882 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
z.lag.1     -2.740e-06  6.271e-03   0.000 0.999652    
z.diff.lag1 -3.043e-01  8.571e-02  -3.550 0.000548 ***
z.diff.lag2 -2.524e-01  8.595e-02  -2.936 0.003971 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05587 on 122 degrees of freedom
Multiple R-squared:  0.1251,	Adjusted R-squared:  0.1036 
F-statistic: 5.813 on 3 and 122 DF,  p-value: 0.0009539


Value of test-statistic is: -4e-04 

Critical values for test statistics: 
      1pct  5pct 10pct
tau1 -2.58 -1.95 -1.62
</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[42]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>uC <span class="o">&lt;-</span> residuals<span class="p">(</span><span class="kp">summary</span><span class="p">(</span> lm<span class="p">(</span> <span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">])</span> <span class="o">~</span> <span class="kp">as.matrix</span><span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="s">&quot;homophily&quot;</span><span class="p">])</span> <span class="p">)</span> <span class="p">))</span>

adf1 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>uC<span class="p">),</span> type <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">))</span> <span class="c1">#</span>
adf1

adf1 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>uC<span class="p">),</span> type <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">))</span> <span class="c1">#</span>
adf1

adf2 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>uC<span class="p">),</span> type <span class="o">=</span> <span class="s">&quot;drift&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">))</span>
adf2

adf2 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>uC<span class="p">),</span> type <span class="o">=</span> <span class="s">&quot;drift&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">))</span>
adf2

adf3 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>uC<span class="p">),</span> type <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">1</span><span class="p">))</span> <span class="c1">#</span>
adf3

adf3 <span class="o">&lt;-</span> <span class="kp">summary</span><span class="p">(</span>ur.df<span class="p">(</span>y<span class="o">=</span><span class="kp">as.matrix</span><span class="p">(</span>uC<span class="p">),</span> type <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lags <span class="o">=</span> <span class="m">2</span><span class="p">))</span> <span class="c1">#</span>
adf3
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression trend 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.117248 -0.019130  0.001988  0.016697  0.128738 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept) -4.382e-03  5.210e-03  -0.841    0.402    
z.lag.1     -6.874e-01  1.067e-01  -6.443 2.44e-09 ***
tt           8.393e-05  7.083e-05   1.185    0.238    
z.diff.lag  -7.256e-02  8.996e-02  -0.807    0.422    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02812 on 122 degrees of freedom
Multiple R-squared:  0.3723,	Adjusted R-squared:  0.3568 
F-statistic: 24.12 on 3 and 122 DF,  p-value: 2.527e-12


Value of test-statistic is: -6.4429 13.914 20.7972 

Critical values for test statistics: 
      1pct  5pct 10pct
tau3 -3.99 -3.43 -3.13
phi2  6.22  4.75  4.07
phi3  8.43  6.49  5.47
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression trend 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.104905 -0.016149  0.000677  0.018788  0.119766 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept) -4.274e-03  5.083e-03  -0.841   0.4020    
z.lag.1     -4.872e-01  1.186e-01  -4.109 7.31e-05 ***
tt           7.594e-05  6.891e-05   1.102   0.2726    
z.diff.lag1 -2.684e-01  1.061e-01  -2.529   0.0127 *  
z.diff.lag2 -2.220e-01  8.727e-02  -2.545   0.0122 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02696 on 120 degrees of freedom
Multiple R-squared:  0.3994,	Adjusted R-squared:  0.3794 
F-statistic: 19.95 on 4 and 120 DF,  p-value: 1.296e-12


Value of test-statistic is: -4.1087 5.6479 8.4484 

Critical values for test statistics: 
      1pct  5pct 10pct
tau3 -3.99 -3.43 -3.13
phi2  6.22  4.75  4.07
phi3  8.43  6.49  5.47
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression drift 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.123051 -0.017936  0.001468  0.016767  0.125068 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)  0.00103    0.00251   0.410    0.682    
z.lag.1     -0.65867    0.10407  -6.329 4.18e-09 ***
z.diff.lag  -0.09085    0.08878  -1.023    0.308    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02817 on 123 degrees of freedom
Multiple R-squared:  0.3651,	Adjusted R-squared:  0.3547 
F-statistic: 35.36 on 2 and 123 DF,  p-value: 7.381e-13


Value of test-statistic is: -6.3292 20.1029 

Critical values for test statistics: 
      1pct  5pct 10pct
tau2 -3.46 -2.88 -2.57
phi1  6.52  4.63  3.81
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression drift 


Call:
lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.109221 -0.016670  0.000801  0.018230  0.115626 

Coefficients:
              Estimate Std. Error t value Pr(&gt;|t|)    
(Intercept)  0.0006561  0.0024148   0.272 0.786299    
z.lag.1     -0.4558898  0.1152239  -3.957 0.000129 ***
z.diff.lag1 -0.2918021  0.1040930  -2.803 0.005894 ** 
z.diff.lag2 -0.2356265  0.0864681  -2.725 0.007384 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02698 on 121 degrees of freedom
Multiple R-squared:  0.3933,	Adjusted R-squared:  0.3783 
F-statistic: 26.15 on 3 and 121 DF,  p-value: 4.15e-13


Value of test-statistic is: -3.9566 7.8506 

Critical values for test statistics: 
      1pct  5pct 10pct
tau2 -3.46 -2.88 -2.57
phi1  6.52  4.63  3.81
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression none 


Call:
lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.122009 -0.016906  0.002491  0.017795  0.126148 

Coefficients:
           Estimate Std. Error t value Pr(&gt;|t|)    
z.lag.1    -0.65848    0.10372  -6.349 3.72e-09 ***
z.diff.lag -0.09060    0.08847  -1.024    0.308    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02808 on 124 degrees of freedom
Multiple R-squared:  0.3645,	Adjusted R-squared:  0.3543 
F-statistic: 35.57 on 2 and 124 DF,  p-value: 6.194e-13


Value of test-statistic is: -6.3489 

Critical values for test statistics: 
      1pct  5pct 10pct
tau1 -2.58 -1.95 -1.62
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
############################################### 
# Augmented Dickey-Fuller Test Unit Root Test # 
############################################### 

Test regression none 


Call:
lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.108613 -0.016014  0.001435  0.018869  0.116365 

Coefficients:
            Estimate Std. Error t value Pr(&gt;|t|)    
z.lag.1     -0.45545    0.11477  -3.968 0.000123 ***
z.diff.lag1 -0.29176    0.10370  -2.814 0.005713 ** 
z.diff.lag2 -0.23506    0.08611  -2.730 0.007279 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02688 on 122 degrees of freedom
Multiple R-squared:  0.3929,	Adjusted R-squared:  0.378 
F-statistic: 26.32 on 3 and 122 DF,  p-value: 3.366e-13


Value of test-statistic is: -3.9682 

Critical values for test statistics: 
      1pct  5pct 10pct
tau1 -2.58 -1.95 -1.62
</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong> Conclusion: y,h are I(1), u is I(0). </strong></p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># Rechecking error term is I(0) because ADF might have low power</span>
<span class="c1"># Same conclusion (not shown here)</span>

<span class="c1">#?ur.ers</span>

<span class="c1">#ur.ers(uC, model=&#39;constant&#39;, lag.max=1)</span>
<span class="kp">summary</span><span class="p">(</span>ur.ers<span class="p">(</span>uC<span class="p">,</span> model<span class="o">=</span><span class="s">&#39;constant&#39;</span><span class="p">,</span> lag.max<span class="o">=</span><span class="m">1</span><span class="p">))</span>
<span class="kp">summary</span><span class="p">(</span>ur.ers<span class="p">(</span>uC<span class="p">,</span> model<span class="o">=</span><span class="s">&#39;constant&#39;</span><span class="p">,</span> lag.max<span class="o">=</span><span class="m">2</span><span class="p">))</span>
<span class="kp">summary</span><span class="p">(</span>ur.ers<span class="p">(</span>uC<span class="p">,</span> model<span class="o">=</span><span class="s">&#39;trend&#39;</span><span class="p">,</span>    lag.max<span class="o">=</span><span class="m">1</span><span class="p">))</span> <span class="c1">#</span>
<span class="kp">summary</span><span class="p">(</span>ur.ers<span class="p">(</span>uC<span class="p">,</span> model<span class="o">=</span><span class="s">&#39;trend&#39;</span><span class="p">,</span>    lag.max<span class="o">=</span><span class="m">2</span><span class="p">))</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="VAR">VAR<a class="anchor-link" href="#VAR">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[181]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="o">?</span>VARselect

<span class="c1">#Akaike (ic = &quot;AIC&quot;), Hannan-Quinn (ic = &quot;HQ&quot;), Schwarz (ic = &quot;SC&quot;), Forecast prediction error (ic = &quot;FPE&quot;).</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[180]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>VARselect<span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)],</span> lag.max <span class="o">=</span> <span class="m">2</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;both&quot;</span><span class="p">)</span>

VARselect<span class="p">(</span>df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)],</span> lag.max <span class="o">=</span> <span class="m">3</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;both&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>



<div class="output_html rendered_html output_subarea ">
<dl>
	<dt>$selection</dt>
		<dd><dl class=dl-horizontal>
	<dt>AIC(n)</dt>
		<dd>1</dd>
	<dt>HQ(n)</dt>
		<dd>1</dd>
	<dt>SC(n)</dt>
		<dd>1</dd>
	<dt>FPE(n)</dt>
		<dd>1</dd>
</dl>
</dd>
	<dt>$criteria</dt>
		<dd><table>
<thead><tr><th></th><th scope=col>1</th><th scope=col>2</th></tr></thead>
<tbody>
	<tr><th scope=row>AIC(n)</th><td>-1.286316e+01</td><td>-1.281816e+01</td></tr>
	<tr><th scope=row>HQ(n)</th><td>-1.279000e+01</td><td>-1.270841e+01</td></tr>
	<tr><th scope=row>SC(n)</th><td>-1.268308e+01</td><td>-1.254803e+01</td></tr>
	<tr><th scope=row>FPE(n)</th><td> 2.591897e-06</td><td> 2.711489e-06</td></tr>
</tbody>
</table>
</dd>
</dl>

</div>

</div>

<div class="output_area">

<div class="prompt"></div>



<div class="output_html rendered_html output_subarea ">
<dl>
	<dt>$selection</dt>
		<dd><dl class=dl-horizontal>
	<dt>AIC(n)</dt>
		<dd>3</dd>
	<dt>HQ(n)</dt>
		<dd>1</dd>
	<dt>SC(n)</dt>
		<dd>1</dd>
	<dt>FPE(n)</dt>
		<dd>3</dd>
</dl>
</dd>
	<dt>$criteria</dt>
		<dd><table>
<thead><tr><th></th><th scope=col>1</th><th scope=col>2</th><th scope=col>3</th></tr></thead>
<tbody>
	<tr><th scope=row>AIC(n)</th><td>-1.293622e+01</td><td>-1.289724e+01</td><td>-1.294638e+01</td></tr>
	<tr><th scope=row>HQ(n)</th><td>-1.286269e+01</td><td>-1.278693e+01</td><td>-1.279931e+01</td></tr>
	<tr><th scope=row>SC(n)</th><td>-1.275521e+01</td><td>-1.262572e+01</td><td>-1.258436e+01</td></tr>
	<tr><th scope=row>FPE(n)</th><td> 2.409288e-06</td><td> 2.505331e-06</td><td> 2.385661e-06</td></tr>
</tbody>
</table>
</dd>
</dl>

</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[60]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="o">?</span>VAR
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[85]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># VAR.. p=1 (C) ..stationary</span>

y <span class="o">&lt;-</span> <span class="kp">cbind</span><span class="p">(</span><span class="kp">diff</span><span class="p">(</span>polarzn_complicated<span class="p">),</span> <span class="kp">diff</span><span class="p">(</span>homophily<span class="p">))</span>
<span class="kp">colnames</span><span class="p">(</span>y<span class="p">)</span> <span class="o">&lt;-</span> <span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)</span>

p1ct_1_C <span class="o">&lt;-</span> VAR<span class="p">(</span> y<span class="p">,</span> p <span class="o">=</span> <span class="m">1</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;both&quot;</span><span class="p">)</span>
<span class="c1">#p1ct_1_C</span>

<span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">,</span> equation <span class="o">=</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">,</span> equation <span class="o">=</span> <span class="s">&quot;homophily&quot;</span><span class="p">)</span>

plot<span class="p">(</span>p1ct_1_C<span class="p">,</span> names <span class="o">=</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">)</span>
plot<span class="p">(</span>p1ct_1_C<span class="p">,</span> names <span class="o">=</span> <span class="s">&quot;homophily&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
VAR Estimation Results:
========================= 
Endogenous variables: polarzn_complicated, homophily 
Deterministic variables: both 
Sample size: 130 
Log Likelihood: 377.182 
Roots of the characteristic polynomial:
0.5817 0.3734
Call:
VAR(y = y, p = 1, type = &#34;both&#34;)


Estimation results for equation polarzn_complicated: 
==================================================== 
polarzn_complicated = polarzn_complicated.l1 + homophily.l1 + const + trend 

                         Estimate Std. Error t value Pr(&gt;|t|)    
polarzn_complicated.l1 -3.695e-01  8.696e-02  -4.249 4.15e-05 ***
homophily.l1           -5.135e-03  2.451e-02  -0.210    0.834    
const                  -4.060e-04  6.045e-03  -0.067    0.947    
trend                   9.005e-06  7.907e-05   0.114    0.910    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1


Residual standard error: 0.0337 on 126 degrees of freedom
Multiple R-Squared: 0.1277,	Adjusted R-squared: 0.1069 
F-statistic: 6.148 on 3 and 126 DF,  p-value: 0.0006193 



Covariance matrix of residuals:
                    polarzn_complicated  homophily
polarzn_complicated           0.0011360 -0.0006543
homophily                    -0.0006543  0.0100752

Correlation matrix of residuals:
                    polarzn_complicated homophily
polarzn_complicated              1.0000   -0.1934
homophily                       -0.1934    1.0000

</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
VAR Estimation Results:
========================= 
Endogenous variables: polarzn_complicated, homophily 
Deterministic variables: both 
Sample size: 130 
Log Likelihood: 377.182 
Roots of the characteristic polynomial:
0.5817 0.3734
Call:
VAR(y = y, p = 1, type = &#34;both&#34;)


Estimation results for equation homophily: 
========================================== 
homophily = polarzn_complicated.l1 + homophily.l1 + const + trend 

                         Estimate Std. Error t value Pr(&gt;|t|)    
polarzn_complicated.l1  0.1636468  0.2589723   0.632   0.5286    
homophily.l1           -0.5856816  0.0729798  -8.025 6.07e-13 ***
const                   0.0365942  0.0180038   2.033   0.0442 *  
trend                  -0.0003946  0.0002355  -1.676   0.0963 .  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1


Residual standard error: 0.1004 on 126 degrees of freedom
Multiple R-Squared: 0.3573,	Adjusted R-squared: 0.342 
F-statistic: 23.35 on 3 and 126 DF,  p-value: 4.392e-12 



Covariance matrix of residuals:
                    polarzn_complicated  homophily
polarzn_complicated           0.0011360 -0.0006543
homophily                    -0.0006543  0.0100752

Correlation matrix of residuals:
                    polarzn_complicated homophily
polarzn_complicated              1.0000   -0.1934
homophily                       -0.1934    1.0000

</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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="
>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Now we try with lag 2</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[88]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># VAR.. p=2 (C) ..stationary</span>

y <span class="o">&lt;-</span> <span class="kp">cbind</span><span class="p">(</span><span class="kp">diff</span><span class="p">(</span>polarzn_complicated<span class="p">),</span> <span class="kp">diff</span><span class="p">(</span>homophily<span class="p">))</span>
<span class="kp">colnames</span><span class="p">(</span>y<span class="p">)</span> <span class="o">&lt;-</span> <span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)</span>

p1ct_1_C <span class="o">&lt;-</span> VAR<span class="p">(</span> y<span class="p">,</span> p <span class="o">=</span> <span class="m">2</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;both&quot;</span><span class="p">)</span>
<span class="c1">#p1ct_1_C</span>

<span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">,</span> equation <span class="o">=</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">,</span> equation <span class="o">=</span> <span class="s">&quot;homophily&quot;</span><span class="p">)</span>

plot<span class="p">(</span>p1ct_1_C<span class="p">,</span> names <span class="o">=</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">)</span>
plot<span class="p">(</span>p1ct_1_C<span class="p">,</span> names <span class="o">=</span> <span class="s">&quot;homophily&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
VAR Estimation Results:
========================= 
Endogenous variables: polarzn_complicated, homophily 
Deterministic variables: both 
Sample size: 129 
Log Likelihood: 421.948 
Roots of the characteristic polynomial:
0.624 0.624 0.389 0.389
Call:
VAR(y = y, p = 2, type = &#34;both&#34;)


Estimation results for equation polarzn_complicated: 
==================================================== 
polarzn_complicated = polarzn_complicated.l1 + homophily.l1 + polarzn_complicated.l2 + homophily.l2 + const + trend 

                         Estimate Std. Error t value Pr(&gt;|t|)    
polarzn_complicated.l1 -4.904e-01  8.700e-02  -5.636 1.13e-07 ***
homophily.l1           -1.175e-02  2.857e-02  -0.411    0.682    
polarzn_complicated.l2 -3.973e-01  8.805e-02  -4.512 1.48e-05 ***
homophily.l2           -2.624e-02  2.847e-02  -0.922    0.359    
const                   9.507e-04  5.847e-03   0.163    0.871    
trend                  -5.172e-06  7.575e-05  -0.068    0.946    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1


Residual standard error: 0.03159 on 123 degrees of freedom
Multiple R-Squared: 0.2482,	Adjusted R-squared: 0.2177 
F-statistic: 8.124 on 5 and 123 DF,  p-value: 1.188e-06 



Covariance matrix of residuals:
                    polarzn_complicated  homophily
polarzn_complicated           0.0009976 -0.0006255
homophily                    -0.0006255  0.0058419

Correlation matrix of residuals:
                    polarzn_complicated homophily
polarzn_complicated              1.0000   -0.2591
homophily                       -0.2591    1.0000

</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
VAR Estimation Results:
========================= 
Endogenous variables: polarzn_complicated, homophily 
Deterministic variables: both 
Sample size: 129 
Log Likelihood: 421.948 
Roots of the characteristic polynomial:
0.624 0.624 0.389 0.389
Call:
VAR(y = y, p = 2, type = &#34;both&#34;)


Estimation results for equation homophily: 
========================================== 
homophily = polarzn_complicated.l1 + homophily.l1 + polarzn_complicated.l2 + homophily.l2 + const + trend 

                         Estimate Std. Error t value Pr(&gt;|t|)    
polarzn_complicated.l1 -0.1418221  0.2105286  -0.674   0.5018    
homophily.l1           -0.6801197  0.0691424  -9.837   &lt;2e-16 ***
polarzn_complicated.l2  0.0408183  0.2130665   0.192   0.8484    
homophily.l2           -0.1456256  0.0688961  -2.114   0.0366 *  
const                   0.0196363  0.0141486   1.388   0.1677    
trend                  -0.0002019  0.0001833  -1.101   0.2730    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1


Residual standard error: 0.07643 on 123 degrees of freedom
Multiple R-Squared: 0.4931,	Adjusted R-squared: 0.4725 
F-statistic: 23.93 on 5 and 123 DF,  p-value: &lt; 2.2e-16 



Covariance matrix of residuals:
                    polarzn_complicated  homophily
polarzn_complicated           0.0009976 -0.0006255
homophily                    -0.0006255  0.0058419

Correlation matrix of residuals:
                    polarzn_complicated homophily
polarzn_complicated              1.0000   -0.2591
homophily                       -0.2591    1.0000

</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong>Above estimates are misleading because we are in a case of cointegration, as we have seen clear indications during the ADF tests.</strong></p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="VECM-(appropriate-for-the-cointegration-case)">VECM (appropriate for the cointegration case)<a class="anchor-link" href="#VECM-(appropriate-for-the-cointegration-case)">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[182]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># ?VEC, ?ca.jo, ?cajorls</span>

<span class="c1">#Johansen cointegration test: 1 coint. relation (r=1): this is also the maximum possible value for a 2 variables system</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># VECM Specifications</span>

vecm_C_Short <span class="o">&lt;-</span> ca.jo<span class="p">(</span> df<span class="p">[</span><span class="m">1</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)],</span> 
              type <span class="o">=</span> <span class="s">&quot;trace&quot;</span><span class="p">,</span> ecdet <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> K <span class="o">=</span> <span class="m">3</span><span class="p">,</span>  spec <span class="o">=</span> <span class="s">&quot;transitory&quot;</span><span class="p">)</span> <span class="c1">#transitory #longrun</span>
vecm.r1_C_Short <span class="o">&lt;-</span> cajorls<span class="p">(</span>vecm_C_Short<span class="p">,</span> r<span class="o">=</span><span class="m">1</span><span class="p">,</span> reg.num<span class="o">=</span><span class="kc">NULL</span><span class="p">)</span> 


vecm_C_Long <span class="o">&lt;-</span> ca.jo<span class="p">(</span> df<span class="p">[</span><span class="m">1</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)],</span> 
              type <span class="o">=</span> <span class="s">&quot;trace&quot;</span><span class="p">,</span> ecdet <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> K <span class="o">=</span> <span class="m">3</span><span class="p">,</span>  spec <span class="o">=</span> <span class="s">&quot;longrun&quot;</span><span class="p">)</span> <span class="c1">#transitory #longrun</span>
vecm.r1_C_Long <span class="o">&lt;-</span> cajorls<span class="p">(</span>vecm_C_Long<span class="p">,</span> r<span class="o">=</span><span class="m">1</span><span class="p">,</span> reg.num<span class="o">=</span><span class="kc">NULL</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[300]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># Estimates of VECM</span>

beta <span class="o">&lt;-</span> vecm.r1_C_Short<span class="o">$</span>beta <span class="c1">#cointegrating vector=0.253</span>


<span class="kp">summary</span><span class="p">(</span>vecm.r1_C_Short<span class="o">$</span>rlm<span class="p">)</span>

<span class="kp">summary</span><span class="p">(</span>vecm.r1_C_Long<span class="o">$</span>rlm<span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>Response polarzn_complicated.d :

Call:
lm(formula = polarzn_complicated.d ~ ect1 + constant + polarzn_complicated.dl1 + 
    homophily.dl1 + polarzn_complicated.dl2 + homophily.dl2 - 
    1, data = data.mat)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.090639 -0.015062 -0.000113  0.014201  0.117379 

Coefficients:
                        Estimate Std. Error t value Pr(&gt;|t|)    
ect1                    -0.28037    0.09372  -2.992 0.003353 ** 
constant                 0.15836    0.05280   2.999 0.003278 ** 
polarzn_complicated.dl1 -0.32833    0.09981  -3.290 0.001309 ** 
homophily.dl1            0.00846    0.02809   0.301 0.763766    
polarzn_complicated.dl2 -0.31197    0.08962  -3.481 0.000692 ***
homophily.dl2           -0.03162    0.02725  -1.161 0.248058    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.0305 on 123 degrees of freedom
Multiple R-squared:  0.2993,	Adjusted R-squared:  0.2651 
F-statistic: 8.757 on 6 and 123 DF,  p-value: 6.05e-08


Response homophily.d :

Call:
lm(formula = homophily.d ~ ect1 + constant + polarzn_complicated.dl1 + 
    homophily.dl1 + polarzn_complicated.dl2 + homophily.dl2 - 
    1, data = data.mat)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.301322 -0.034828  0.000872  0.032588  0.235003 

Coefficients:
                        Estimate Std. Error t value Pr(&gt;|t|)    
ect1                    -0.55540    0.23067  -2.408   0.0175 *  
constant                 0.31848    0.12997   2.450   0.0157 *  
polarzn_complicated.dl1  0.18988    0.24566   0.773   0.4411    
homophily.dl1           -0.62945    0.06913  -9.105 1.94e-15 ***
polarzn_complicated.dl2  0.21555    0.22059   0.977   0.3304    
homophily.dl2           -0.14554    0.06706  -2.170   0.0319 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.07506 on 123 degrees of freedom
Multiple R-squared:  0.5112,	Adjusted R-squared:  0.4873 
F-statistic: 21.44 on 6 and 123 DF,  p-value: &lt; 2.2e-16

</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>Response polarzn_complicated.d :

Call:
lm(formula = polarzn_complicated.d ~ ect1 + constant + polarzn_complicated.dl1 + 
    homophily.dl1 + polarzn_complicated.dl2 + homophily.dl2 - 
    1, data = data.mat)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.090639 -0.015062 -0.000113  0.014201  0.117379 

Coefficients:
                        Estimate Std. Error t value Pr(&gt;|t|)    
ect1                    -0.28037    0.09372  -2.992  0.00335 ** 
constant                 0.15836    0.05280   2.999  0.00328 ** 
polarzn_complicated.dl1 -0.60870    0.09280  -6.559 1.34e-09 ***
homophily.dl1           -0.06246    0.03217  -1.941  0.05451 .  
polarzn_complicated.dl2 -0.59234    0.10715  -5.528 1.85e-07 ***
homophily.dl2           -0.10254    0.03734  -2.746  0.00693 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.0305 on 123 degrees of freedom
Multiple R-squared:  0.2993,	Adjusted R-squared:  0.2651 
F-statistic: 8.757 on 6 and 123 DF,  p-value: 6.05e-08


Response homophily.d :

Call:
lm(formula = homophily.d ~ ect1 + constant + polarzn_complicated.dl1 + 
    homophily.dl1 + polarzn_complicated.dl2 + homophily.dl2 - 
    1, data = data.mat)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.301322 -0.034828  0.000872  0.032588  0.235003 

Coefficients:
                        Estimate Std. Error t value Pr(&gt;|t|)    
ect1                    -0.55540    0.23067  -2.408  0.01753 *  
constant                 0.31848    0.12997   2.450  0.01567 *  
polarzn_complicated.dl1 -0.36552    0.22841  -1.600  0.11209    
homophily.dl1           -0.76994    0.07919  -9.723  &lt; 2e-16 ***
polarzn_complicated.dl2 -0.33985    0.26372  -1.289  0.19993    
homophily.dl2           -0.28603    0.09191  -3.112  0.00231 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.07506 on 123 degrees of freedom
Multiple R-squared:  0.5112,	Adjusted R-squared:  0.4873 
F-statistic: 21.44 on 6 and 123 DF,  p-value: &lt; 2.2e-16

</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Granger-causality-with-cointegrated-variables">Granger causality with cointegrated variables<a class="anchor-link" href="#Granger-causality-with-cointegrated-variables">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[22]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># VAR.. p=2 (C) ..stationary</span>

y <span class="o">&lt;-</span> <span class="kp">cbind</span><span class="p">(</span>polarzn_complicated<span class="p">,</span> homophily<span class="p">)</span>
<span class="kp">colnames</span><span class="p">(</span>y<span class="p">)</span> <span class="o">&lt;-</span> <span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)</span>

y <span class="o">&lt;-</span> df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span> <span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)]</span>


<span class="c1"># VAR = 3 (p) + 1 (integrating factor) = 4</span>

p1ct_1_C <span class="o">&lt;-</span> VAR<span class="p">(</span> y<span class="p">,</span> p <span class="o">=</span> <span class="m">4</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;both&quot;</span><span class="p">)</span>

<span class="c1">#p1ct_1_C #p1ct_1_C$varresult #same</span>

<span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">)</span> <span class="c1">#much better</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
VAR Estimation Results:
========================= 
Endogenous variables: polarzn_complicated, homophily 
Deterministic variables: both 
Sample size: 124 
Log Likelihood: 468.918 
Roots of the characteristic polynomial:
0.8839 0.7474 0.6794 0.6794 0.591 0.591 0.3715 0.3715
Call:
VAR(y = y, p = 4, type = &#34;both&#34;)


Estimation results for equation polarzn_complicated: 
==================================================== 
polarzn_complicated = polarzn_complicated.l1 + homophily.l1 + polarzn_complicated.l2 + homophily.l2 + polarzn_complicated.l3 + homophily.l3 + polarzn_complicated.l4 + homophily.l4 + const + trend 

                         Estimate Std. Error t value Pr(&gt;|t|)   
polarzn_complicated.l1  0.2395195  0.1026827   2.333  0.02142 * 
homophily.l1           -0.1613764  0.0530337  -3.043  0.00291 **
polarzn_complicated.l2  0.0046293  0.1040884   0.044  0.96460   
homophily.l2            0.0006542  0.0584622   0.011  0.99109   
polarzn_complicated.l3  0.2439607  0.1054238   2.314  0.02245 * 
homophily.l3            0.0809159  0.0574890   1.408  0.16200   
polarzn_complicated.l4 -0.0158607  0.0990075  -0.160  0.87301   
homophily.l4           -0.0570895  0.0517252  -1.104  0.27205   
const                   0.2920055  0.0885879   3.296  0.00131 **
trend                   0.0001423  0.0001106   1.287  0.20066   
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1


Residual standard error: 0.02886 on 114 degrees of freedom
Multiple R-Squared: 0.4535,	Adjusted R-squared: 0.4103 
F-statistic: 10.51 on 9 and 114 DF,  p-value: 1.03e-11 


Estimation results for equation homophily: 
========================================== 
homophily = polarzn_complicated.l1 + homophily.l1 + polarzn_complicated.l2 + homophily.l2 + polarzn_complicated.l3 + homophily.l3 + polarzn_complicated.l4 + homophily.l4 + const + trend 

                         Estimate Std. Error t value Pr(&gt;|t|)    
polarzn_complicated.l1 -0.1652074  0.1938521  -0.852   0.3959    
homophily.l1            0.5854408  0.1001209   5.847 4.85e-08 ***
polarzn_complicated.l2  0.2397163  0.1965059   1.220   0.2250    
homophily.l2            0.0378766  0.1103693   0.343   0.7321    
polarzn_complicated.l3 -0.3387776  0.1990270  -1.702   0.0914 .  
homophily.l3            0.1472973  0.1085320   1.357   0.1774    
polarzn_complicated.l4  0.2759155  0.1869137   1.476   0.1427    
homophily.l4            0.0661561  0.0976508   0.677   0.4995    
const                   0.1044598  0.1672429   0.625   0.5335    
trend                   0.0003216  0.0002088   1.541   0.1262    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1


Residual standard error: 0.05449 on 114 degrees of freedom
Multiple R-Squared: 0.7654,	Adjusted R-squared: 0.7469 
F-statistic: 41.32 on 9 and 114 DF,  p-value: &lt; 2.2e-16 



Covariance matrix of residuals:
                    polarzn_complicated  homophily
polarzn_complicated           0.0008330 -0.0006059
homophily                    -0.0006059  0.0029689

Correlation matrix of residuals:
                    polarzn_complicated homophily
polarzn_complicated              1.0000   -0.3853
homophily                       -0.3853    1.0000

</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[47]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="kn">library</span><span class="p">(</span>aod<span class="p">)</span>
<span class="c1">#?lmtest::wald.test</span>
<span class="c1">#?wald.test</span>

<span class="c1">#Rejection of the null implies a rejection of Granger non-causality.</span>

<span class="c1">#Granger Causality: Test if homophily affects polarization:</span>
wald.test<span class="p">(</span>b<span class="o">=</span>coef<span class="p">(</span>p1ct_1_C<span class="o">$</span>varresult<span class="p">[[</span><span class="m">1</span><span class="p">]]),</span> Sigma<span class="o">=</span>vcov<span class="p">(</span>p1ct_1_C<span class="o">$</span>varresult<span class="p">[[</span><span class="m">1</span><span class="p">]]),</span> Terms<span class="o">=</span><span class="kt">c</span><span class="p">(</span><span class="m">2</span><span class="p">,</span><span class="m">4</span><span class="p">,</span><span class="m">6</span><span class="p">))</span>

<span class="c1">#Granger Causality: Test if polarization affects homophily:</span>
wald.test<span class="p">(</span>b<span class="o">=</span>coef<span class="p">(</span>p1ct_1_C<span class="o">$</span>varresult<span class="p">[[</span><span class="m">2</span><span class="p">]]),</span> Sigma<span class="o">=</span>vcov<span class="p">(</span>p1ct_1_C<span class="o">$</span>varresult<span class="p">[[</span><span class="m">2</span><span class="p">]]),</span> Terms<span class="o">=</span><span class="kt">c</span><span class="p">(</span><span class="m">1</span><span class="p">,</span><span class="m">3</span><span class="p">,</span><span class="m">5</span><span class="p">))</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>Wald test:
----------

Chi-squared test:
X2 = 12.3, df = 3, P(&gt; X2) = 0.0065</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>Wald test:
----------

Chi-squared test:
X2 = 4.0, df = 3, P(&gt; X2) = 0.27</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">,</span> equation <span class="o">=</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">)</span>
<span class="kp">summary</span><span class="p">(</span>p1ct_1_C<span class="p">,</span> equation <span class="o">=</span> <span class="s">&quot;homophily&quot;</span><span class="p">)</span>

plot<span class="p">(</span>p1ct_1_C<span class="p">,</span> names <span class="o">=</span> <span class="s">&quot;polarzn_complicated&quot;</span><span class="p">)</span>
plot<span class="p">(</span>p1ct_1_C<span class="p">,</span> names <span class="o">=</span> <span class="s">&quot;homophily&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Some-Alternative-Tests-of-Cointegration">Some Alternative Tests of Cointegration<a class="anchor-link" href="#Some-Alternative-Tests-of-Cointegration">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[1]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="kn">library</span><span class="p">(</span><span class="s">&quot;tseries&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="Johansen">Johansen<a class="anchor-link" href="#Johansen">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[95]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>vecm_C <span class="o">&lt;-</span> ca.jo<span class="p">(</span> df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)],</span> 
              type <span class="o">=</span> <span class="s">&quot;trace&quot;</span><span class="p">,</span> <span class="c1">#trace, eigen</span>
              ecdet <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> K <span class="o">=</span> <span class="m">2</span><span class="p">,</span> <span class="c1"># VAR lag order ~~ p</span>
              spec <span class="o">=</span> <span class="s">&quot;transitory&quot;</span><span class="p">)</span>

<span class="kp">summary</span><span class="p">(</span>vecm_C<span class="p">)</span> <span class="c1">## indicates cointegrating relationship</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
###################### 
# Johansen-Procedure # 
###################### 

Test type: trace statistic , with linear trend 

Eigenvalues (lambda):
[1] 0.24849758 0.06028927

Values of teststatistic and critical values of test:

          test 10pct  5pct  1pct
r &lt;= 1 |  7.84  6.50  8.18 11.65
r = 0  | 43.83 15.66 17.95 23.52

Eigenvectors, normalised to first column:
(These are the cointegration relations)

                       polarzn_complicated.l1 homophily.l1
polarzn_complicated.l1              1.0000000     1.000000
homophily.l1                        0.2377592    -2.095897

Weights W:
(This is the loading matrix)

                      polarzn_complicated.l1 homophily.l1
polarzn_complicated.d            -0.63735359  -0.01157692
homophily.d                      -0.09049236   0.05977477
</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[109]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>p <span class="o">&lt;-</span> df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)][[</span><span class="m">1</span><span class="p">]]</span>
q <span class="o">&lt;-</span> df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)][[</span><span class="m">2</span><span class="p">]]</span>

s <span class="o">&lt;-</span> <span class="m">1</span><span class="o">*</span>p <span class="o">+</span> <span class="m">0.2377592</span><span class="o">*</span><span class="kp">q</span>
plot<span class="p">(</span>s<span class="p">,</span> type<span class="o">=</span><span class="s">&quot;l&quot;</span><span class="p">)</span>

adf.test<span class="p">(</span>s<span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
	Augmented Dickey-Fuller Test

data:  s
Dickey-Fuller = -3.235, Lag order = 5, p-value = 0.08524
alternative hypothesis: stationary
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h3 id="Phillips-Ouliaris-Test">Phillips-Ouliaris Test<a class="anchor-link" href="#Phillips-Ouliaris-Test">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[118]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="o">?</span>ca.po
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1"># As a multivariate trace statistic, the Pz test has its appeal that the outcome won’t change by the </span>
<span class="c1"># position of each series</span>

<span class="c1"># Null of No Cointegration</span>

<span class="c1"># Critical values in below paper:</span>
<span class="c1"># paper: Asymptotic Properties of Residual Based Tests for Cointegration</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[49]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span>p <span class="o">&lt;-</span> df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)][[</span><span class="m">1</span><span class="p">]]</span>
q <span class="o">&lt;-</span> df<span class="p">[</span><span class="m">5</span><span class="o">:</span><span class="m">132</span><span class="p">,</span><span class="kt">c</span><span class="p">(</span><span class="s">&#39;polarzn_complicated&#39;</span><span class="p">,</span><span class="s">&#39;homophily&#39;</span><span class="p">)][[</span><span class="m">2</span><span class="p">]]</span>
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[121]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-r"><pre><span></span><span class="c1">#none,constant,trend   #long,short</span>

ca.po<span class="p">(</span><span class="kp">cbind</span><span class="p">(</span>p<span class="p">,</span><span class="kp">q</span><span class="p">),</span> demean <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lag <span class="o">=</span> <span class="s">&quot;short&quot;</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;Pz&quot;</span><span class="p">)</span> 
ca.po<span class="p">(</span><span class="kp">cbind</span><span class="p">(</span>p<span class="p">,</span><span class="kp">q</span><span class="p">),</span> demean <span class="o">=</span> <span class="s">&quot;none&quot;</span><span class="p">,</span> lag <span class="o">=</span> <span class="s">&quot;long&quot;</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;Pz&quot;</span><span class="p">)</span>  <span class="c1">#** (as in the regression to get residuals before)</span>

ca.po<span class="p">(</span><span class="kp">cbind</span><span class="p">(</span>p<span class="p">,</span><span class="kp">q</span><span class="p">),</span> demean <span class="o">=</span> <span class="s">&quot;constant&quot;</span><span class="p">,</span> lag <span class="o">=</span> <span class="s">&quot;short&quot;</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;Pz&quot;</span><span class="p">)</span> 
ca.po<span class="p">(</span><span class="kp">cbind</span><span class="p">(</span>p<span class="p">,</span><span class="kp">q</span><span class="p">),</span> demean <span class="o">=</span> <span class="s">&quot;constant&quot;</span><span class="p">,</span> lag <span class="o">=</span> <span class="s">&quot;long&quot;</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;Pz&quot;</span><span class="p">)</span> 

ca.po<span class="p">(</span><span class="kp">cbind</span><span class="p">(</span>p<span class="p">,</span><span class="kp">q</span><span class="p">),</span> demean <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lag <span class="o">=</span> <span class="s">&quot;short&quot;</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;Pz&quot;</span><span class="p">)</span> 
ca.po<span class="p">(</span><span class="kp">cbind</span><span class="p">(</span>p<span class="p">,</span><span class="kp">q</span><span class="p">),</span> demean <span class="o">=</span> <span class="s">&quot;trend&quot;</span><span class="p">,</span> lag <span class="o">=</span> <span class="s">&quot;long&quot;</span><span class="p">,</span> type <span class="o">=</span> <span class="s">&quot;Pz&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
######################################################## 
# Phillips and Ouliaris Unit Root / Cointegration Test # 
######################################################## 

The value of the test statistic is: 39.935 
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
######################################################## 
# Phillips and Ouliaris Unit Root / Cointegration Test # 
######################################################## 

The value of the test statistic is: 53.9631 
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
######################################################## 
# Phillips and Ouliaris Unit Root / Cointegration Test # 
######################################################## 

The value of the test statistic is: 40.0322 
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
######################################################## 
# Phillips and Ouliaris Unit Root / Cointegration Test # 
######################################################## 

The value of the test statistic is: 49.9509 
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
######################################################## 
# Phillips and Ouliaris Unit Root / Cointegration Test # 
######################################################## 

The value of the test statistic is: 40.7632 
</pre>
</div>

</div>

<div class="output_area">

<div class="prompt"></div>




<div class="output_text output_subarea ">
<pre>
######################################################## 
# Phillips and Ouliaris Unit Root / Cointegration Test # 
######################################################## 

The value of the test statistic is: 51.554 
</pre>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Test statistic is above critical value, so we reject null of no cointegration</p>

</div>
</div>
</div>
    </div>
  </div>
</body>

 


</html>
